Sato-Tate group search results

Results (10 matches)

 

Label	Wt	Deg	$\mathrm{dim}_{\mathbb{R}}$	$\mathrm{G}^0$	Name	$\mathrm{G}/\mathrm{G}^0$	$\mathrm{Pr}[t\!=\!0]$	$\mathrm{E}[a_1^2]$	$\mathrm{E}[a_1^4]$	$\mathrm{E}[a_1^6]$	$\mathrm{E}[a_1^8]$	$\mathrm{E}[a_1^{10}]$	$\mathrm{E}[a_1^{12}]$	$\mathrm{E}[a_2]$	$\mathrm{E}[a_2^2]$	$\mathrm{E}[a_2^3]$	$\mathrm{E}[a_2^4]$	$\mathrm{E}[a_2^5]$	$\mathrm{E}[a_2^6]$	$\mathrm{E}[a_3^2]$	$\mathrm{E}[a_3^4]$	$\mathrm{E}[a_3^6]$	Maximal	Rational	Diagonal
1.6.N.36.10a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(3,1))$	$36$	$13/18$	$1$	$15$	$410$	$12775$	$413406$	$413406$	$1$	$5$	$40$	$457$	$5946$	$80934$	$6$	$1322$	$429450$		✓	$[1, 1, 4, 5, 8, 36, 48, 75, 121, 71, 28, 253, 344, 799, 1644, 891, 901, 2236, 1974, 655]$
1.6.N.42.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(1,7))$	$42$	$5/6$	$1$	$15$	$370$	$11095$	$355446$	$355446$	$1$	$5$	$38$	$409$	$5176$	$69734$	$6$	$1158$	$368910$		✓	$[1, 1, 4, 3, 6, 32, 37, 60, 101, 46, 22, 217, 272, 681, 1411, 731, 767, 1866, 1667, 489]$
1.6.N.54.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(3,3))$	$54$	$47/54$	$1$	$15$	$330$	$9135$	$282366$	$282366$	$1$	$5$	$36$	$357$	$4266$	$55734$	$6$	$966$	$290620$		✓	$[1, 1, 4, 3, 6, 28, 31, 50, 81, 38, 20, 173, 214, 533, 1104, 573, 605, 1456, 1302, 385]$
1.6.N.54.8a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(3,3))$	$54$	$47/54$	$1$	$15$	$330$	$9135$	$282366$	$282366$	$1$	$5$	$36$	$357$	$4266$	$55734$	$6$	$966$	$290620$		✓	$[1, 1, 4, 3, 6, 28, 31, 50, 81, 38, 20, 173, 214, 533, 1104, 573, 605, 1456, 1302, 385]$
1.6.N.72.42a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(6,2))$	$72$	$31/36$	$1$	$15$	$310$	$7875$	$228186$	$228186$	$1$	$5$	$34$	$323$	$3646$	$45394$	$6$	$862$	$231350$		✓	$[1, 1, 4, 3, 6, 26, 28, 41, 65, 33, 16, 139, 172, 409, 840, 439, 451, 1104, 986, 303]$
1.6.N.72.44a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(6,2))$	$72$	$31/36$	$1$	$15$	$310$	$7875$	$228186$	$228186$	$1$	$5$	$35$	$327$	$3661$	$45444$	$6$	$862$	$231350$		✓	$[1, 1, 4, 3, 6, 26, 28, 43, 65, 33, 16, 139, 172, 409, 840, 439, 457, 1104, 986, 303]$
1.6.N.96.64a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(4,4))$	$96$	$5/6$	$1$	$15$	$310$	$7525$	$204246$	$204246$	$1$	$5$	$34$	$319$	$3456$	$40904$	$6$	$828$	$199740$		✓	$[1, 1, 4, 3, 6, 26, 27, 40, 59, 30, 16, 129, 148, 347, 686, 349, 367, 866, 768, 233]$
1.6.N.96.72a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(4,4))$	$96$	$5/6$	$1$	$15$	$310$	$7525$	$204246$	$204246$	$1$	$5$	$35$	$322$	$3466$	$40934$	$6$	$828$	$199740$		✓	$[1, 1, 4, 3, 6, 26, 27, 41, 59, 29, 16, 128, 148, 347, 686, 349, 369, 866, 765, 233]$
1.6.N.216.95a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(6,6))$	$216$	$91/108$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$34$	$317$	$3396$	$39094$	$6$	$822$	$184880$		✓	$[1, 1, 4, 3, 6, 26, 27, 38, 57, 26, 16, 125, 142, 315, 602, 281, 293, 662, 544, 151]$
1.6.N.216.99a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(6,6))$	$216$	$91/108$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$35$	$321$	$3411$	$39144$	$6$	$822$	$184880$		✓	$[1, 1, 4, 3, 6, 26, 27, 40, 57, 26, 16, 125, 142, 315, 602, 281, 299, 662, 544, 151]$